JEE Main 2024 Mathematics question
Let the first three terms 2, p and q, with q ≠ 2, of a G.P. be respectively the 7th, 8th and 13th terms of an A.P. If the 5th term of the G.P. is the nth term of the A.P., then n is equal to
Answer: (D)
Solution
With G.P. ratio r: d = 2r − 2 and 6d = 2r² − 2r ⇒ r² − 6r + 5 = 0 ⇒ r = 5. Then
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